Fuzzy \(\sigma\)-algebras and fuzzy measurable functions
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Publication:1144681
DOI10.1016/0165-0114(80)90066-4zbMath0444.28001OpenAlexW1978103385MaRDI QIDQ1144681
Publication date: 1980
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0165-0114(80)90066-4
Fuzzy logic; logic of vagueness (03B52) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)
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Cites Work
- Unnamed Item
- Unnamed Item
- On fuzzy complements
- Fuzzy topological spaces and fuzzy compactness
- Initial and final fuzzy topologies and the fuzzy Tychonoff theorem
- Probability measures of fuzzy events
- Algebras of measurable functions
- On the analytic formalism of the theory of fuzzy sets
- Ma\e auf unscharfen Mengen
- Some Characterizations of Sets of Measurable Functions
- Fuzzy sets
- Fuzzy topological spaces
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